carl earned grades of 62, 78, 59, and 89 on four math tests. what is the mean of his grades?\na. 68.5\nb…

carl earned grades of 62, 78, 59, and 89 on four math tests. what is the mean of his grades?\na. 68.5\nb. 70\nc. 72\nd. 74\ne. 75.5

carl earned grades of 62, 78, 59, and 89 on four math tests. what is the mean of his grades?\na. 68.5\nb. 70\nc. 72\nd. 74\ne. 75.5

Answer

Explanation:

Step1: Recall mean - formula

The formula for the mean (average) of a set of numbers $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here, $n = 4$ and $x_1=62,x_2 = 78,x_3=59,x_4 = 81$.

Step2: Calculate the sum

$\sum_{i=1}^{4}x_i=62 + 78+59 + 81=(62 + 78)+(59 + 81)=140+140 = 280$.

Step3: Calculate the mean

$\bar{x}=\frac{280}{4}=70$.

Answer:

B. 70